Open AccessLaguerre-Gaussian radial Hilbert transform for edge-enhancement Fourier transform x-ray microscopy
Author(s) -
Nándor Bokor,
Yoshinori Iketaki
Publication year - 2009
Publication title -
optics express
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.17.005533
Subject(s) - optics , fourier transform , physics , diffraction , hilbert transform , fourier optics , isotropy , short time fourier transform , gaussian , beam splitter , materials science , fourier analysis , spectral density , computer science , telecommunications , laser , quantum mechanics
An efficient technique to achieve isotropic edge enhancement in optics involves applying a radial Hilbert transform on the object spectrum. Here we demonstrate a simple setup for isotropic edge-enhancement in soft-x- ray microscopy, using a single diffractive Laguerre-Gaussian zone plate (LGZP) for radial Hilbert transform. Since the LGZP acts as a beam-splitter, diffraction efficiency problems usually associated with x-ray microscopy optics are not present in this system. As numerically demonstrated, the setup can detect optical path differences as small as lambda/50 with high contrast.